JEE Main & Advanced Physics Transmission of Heat Question Bank Critical Thinking

  • question_answer
    A sphere, a cube and a thin circular plate, all made of the same material and having the same mass are initially heated to a temperature of 1000°C. Which one of these will cool first[IIT 1972; MP PMT 1993; J & K CET 2000 MH CET 2000; UPSEAT 2001]

    A)            Plate                                        

    B)             Sphere

    C)            Cube                                       

    D)             None of these

    Correct Answer: A

    Solution :

               Rate of cooling \[\frac{\Delta \theta }{t}=\frac{A\varepsilon \sigma ({{T}^{4}}-T_{0}^{4})}{mc}\]Þ \[\frac{\Delta \theta }{t}\propto A\]. Since area of plate is largest so it will cool fastest.


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